Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074a |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1899832763581412616 = 23 · 314 · 112 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-354464,-47054760] |
[a1,a2,a3,a4,a6] |
Generators |
[-81039:1705887:343] |
Generators of the group modulo torsion |
j |
204055591784617/78708537864 |
j-invariant |
L |
4.1424280692945 |
L(r)(E,1)/r! |
Ω |
0.20216320267583 |
Real period |
R |
10.245257332851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222bv2 1122d2 |
Quadratic twists by: -3 17 |